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132044131311004 = 2211291073792551793
BaseRepresentation
bin11110000001011111101011…
…100010101001110110011100
3122022112021222112201000112001
4132001133223202221312130
5114301402340103423004
61144500123030052044
736545605445155033
oct3601375342516634
9568467875630461
10132044131311004
1139089668818170
12129870544aa024
13588a928a77923
142486d81b9171a
15103eb86ac01a4
hex7817eb8a9d9c

132044131311004 has 96 divisors (see below), whose sum is σ = 263908576915200. Its totient is φ = 57257313039360.

The previous prime is 132044131310999. The next prime is 132044131311023. The reversal of 132044131311004 is 400113131440231.

It is a super-2 number, since 2×1320441313110042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50469732 + ... + 53021524.

It is an arithmetic number, because the mean of its divisors is an integer number (2749047676200).

Almost surely, 2132044131311004 is an apocalyptic number.

It is an amenable number.

132044131311004 is a deficient number, since it is larger than the sum of its proper divisors (131864445604196).

132044131311004 is a wasteful number, since it uses less digits than its factorization.

132044131311004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552323 (or 2552321 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 132044131311004 its reverse (400113131440231), we get a palindrome (532157262751235).

The spelling of 132044131311004 in words is "one hundred thirty-two trillion, forty-four billion, one hundred thirty-one million, three hundred eleven thousand, four".

Divisors: 1 2 4 11 22 29 44 58 107 116 214 319 379 428 638 758 1177 1276 1516 2354 3103 4169 4708 6206 8338 10991 12412 16676 21982 34133 40553 43964 68266 81106 120901 136532 162212 241802 446083 483604 892166 1176037 1784332 2352074 2551793 4704148 5103586 10207172 12936407 25872814 28069723 51745628 56139446 74001997 112278892 148003994 273041851 296007988 546083702 814021967 967129547 1092167404 1628043934 1934259094 3003460361 3256087868 3868518188 6006920722 7918213679 10638425017 12013841444 15836427358 21276850034 28046756863 31672854716 42553700068 56093513726 87100350469 103482861529 112187027452 174200700938 206965723058 308514325493 348401401876 413931446116 617028650986 1138311476819 1234057301972 2276622953638 3001002984341 4553245907276 6002005968682 12004011937364 33011032827751 66022065655502 132044131311004